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Question

If m=138 and n=13+8.
If m2 is equal to 17+6n, then value of n is?

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Solution

Given, m=138 and n=13+8.
We rationalize the denominator,
Therefore, m=138×3+83+8
m=3+898
m=3+81.
Therefore, m2=(3+8)(3+8)
=9+8+68
=17+68.
Comparing this with 17+6n, we get,
the value of n=8.

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